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Condensed Matter > Soft Condensed Matter
Title: An exact expression of three-body system for the complex shear modulus of frictional granular materials
(Submitted on 7 Nov 2022 (v1), last revised 17 Feb 2023 (this version, v3))
Abstract: We propose a simple model comprising three particles to study the nonlinear mechanical response of jammed frictional granular materials under oscillatory shear. Owing to the introduction of the simple model, we obtain an exact analytical expression of the complex shear modulus for a system including many mono-dispersed disks, which satisfies a scaling law in the vicinity of the jamming point. These expressions perfectly reproduce the shear modulus of the many-body system with low strain amplitudes and friction coefficients. Even for disordered many-body systems, the model reproduces results by introducing a single fitting parameter.
Submission history
From: Michio Otsuki [view email][v1] Mon, 7 Nov 2022 04:26:19 GMT (758kb)
[v2] Wed, 30 Nov 2022 21:36:42 GMT (1351kb,D)
[v3] Fri, 17 Feb 2023 10:02:08 GMT (3553kb,D)
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